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Finding the Fourth Proportional to 714.92, 1,067.29 and 586.76

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Solution

The fourth proportional to 714.92, 1,067.29 and 586.76 is: 875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 1,067.29 = 586.76 : x
  2. Step 2: Convert to fraction form
    714.92/1,067.29 = 586.76/x
  3. Step 3: Cross multiply
    714.92x = 1,067.29 × 586.76
  4. Step 4: Simplify right side
    714.92x = 626,243.08
  5. Step 5: Solve for x
    x = 626,243.08/714.92
  6. Step 6: Final answer
    x = 875.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.